# Thread: Problem Of The Week #387 Oct 9th, 2019

1. Here is this week's POTW:

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If $x$ and $y$ are positive real numbers that satisfy the equation $x+4\sqrt{xy}-2\sqrt{x}-4\sqrt{y}+4y=3$, evaluate $\dfrac{\sqrt{x}+2\sqrt{y}+2014}{4-\sqrt{x}-2\sqrt{y}}$.

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